What is the Least Common Multiple of 36457 and 36477?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 36457 and 36477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36457 and 36477, than apply into the LCM equation.

GCF(36457,36477) = 1
LCM(36457,36477) = ( 36457 × 36477) / 1
LCM(36457,36477) = 1329841989 / 1
LCM(36457,36477) = 1329841989

Least Common Multiple (LCM) of 36457 and 36477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36457 and 36477. First we will calculate the prime factors of 36457 and 36477.

Prime Factorization of 36457

Prime Factorization of 36477

Now multiplying the highest exponent prime factors to calculate the LCM of 36457 and 36477.

LCM(36457,36477) = 36457¹ × 3³ × 7¹ × 193¹
LCM(36457,36477) = 1329841989